A wire in the shape of a helix $\boldsymbol{\vec{r}}(t) = \langle 4t, 6\sin\!\left(t\right), 6\cos\!\left(t\right) \rangle$ for $0 \leq t \leq \pi$ has mass-density defined by $f(x,y,z) = x+2 \ \ \mathrm{g/cm^3}$, where $x$, $y$, and $z$ are measured in centimeters. Find the center of mass of the wire. Enter your answer as a point $(\bar{x},\bar{y},\bar{z})$ including the parentheses.

Center of mass =